A 4340 steel plate containing an interior crack that is 2cm long, 10cm wide, and 0.5 cm thick. The plate is pulled with a uniform tensile force of 10,000N. What is the stress intensity factor, KIC, at the end of the crack? Will this structure suffer a fast fracture?
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- 1. a. Two relatively large plates, one of granite and one of slate, are subjected to a tensile stress of 40 MPa. If the specific surface energies for granite and slate are 0.3 J.m? and 0.7 J.m?, respectively; while modulus of elasticity values are 69 GPa and 92 GPa, respectively for granite and slate. Determine the maximum length of a surface crack that is possible without fracture.A punch of 20 mm diameter is used to punch a hole in 8 mm thick plate. If the force required to create a hole is 110 kN, the average shear stress in the plate will be nearly 1.410 MPa 2.320 MPa 3. 220 MPa 4. 140 MPaThe stress intensity factor for a partial-through thickness crack is given bywhere a is the length of of crack through a wall thickness t. If the crack is 10 mmdeep in a wall 20 mm thick determine whether the wall will support a stress of 190MPa if it is made from steel with fracture toughness of 30 MPA m1/2.
- For the stress-strain diagram, which region or point represents fracture?A material containing cracks of initial length 0.010 mm is subjected to alternating tensile stresses of 25 and 125 MPa for 350,000 cycles The material is then subjected to alternating tensile and compressive stresses of 250 MPa. How many of the larger stress amplitude cycles can be sustained before failure? The material has a fracture toughness of 25 MPaVm and materials constants of n-3.1 and C-1.8 × 10-1º for these units. Assume f- 1.0 for all cracksA cylindrical steel pressure vessel 500 mm in diameter with a wall thickness of 25 mm, is subjected to an internal pressure of 6.5 MN/m2. (a) Calculate the tangential and longitudinal stresses in the steel. (b) To what value may the internal pressure be increased if the stress in the steel is limited to 120 MN/m2? (c) If the internal pressure were increased until the vessel burst, sketch the type of fracture that would occur
- 9. (a) Sketch the Mode I, Mode II, and Mode III crack opening geometries, and clearly state which is the most commonly found in engineering structures. (b) Define plane stress and plane strain, making clear which, if any, of the stresses are zero in each case. (c) What is plane strain fracture toughness? 10. (a) Write Griffith's expression for the fracture stress of a material under plane stress conditions. Identify which parameters are applied and which are material constants. (b) What is the leak-before-break condition? Please explain. IDetermine the maximum depth of potential crackA round bar of 25mm in diameter undergoes a tensile load of 120kpa. The gage length is 30cm and fracture length is 33.54cm.Compute the axial strain every 10mm and the total elongation after fractured.
- The limit load of an elastic-plastic cracked three-point bend beam (Figure QA1) with S = 4W = 120 mm, crack length a and a/W = 0.4 is (PL)c. Calculate %3D the crack opening stress at a distance of 0.5 mm ahead of the crack tip in an elastic specimen subjected to bending load equal to the limit load. Assume that the materials yield strength is equal to oy 300 MPa and the specimen is under plane strain condition. Figure QA1: three-point bend beam P. SIA thin walled rotating shaft is subjected to a torque and a bending load. The torque produces the shear stress of 140 MPa. The bending load produces the normal stress varying through the shaft cross-section from -80 MPa to 80 MPa. The shaft may contain through cracks of unknown orientation with the length of up to 3.5 mm. The shaft material has oy-350 MPa, E= 70 GPa, v=0.315, KI-42 MPa-m¹2. The crack growth is approximately described by the Paris law with A=6.9-10-12 (m/cycle)/[(MPa-m¹²)³]. Assume that K₁=1.1.0 √√a, where a is the crack half length. Estimate the number of revolutions that can be withstood without failure.A very large, steel plate of yield stress 200 MPa has a crack at the centre of length 18 mm, orientated along the x-axis. If the plate is subjected to far field tensile loading of magnitude 179 MPa and is assumed to be in a state of plane strain, determine the extent of the plastic region at the crack tip, along the x-axis. You may assume Poisson's ratio is (1/3). Express your answer as an integer value of mm.